If (-4,7) is a point on the graph of y=h(t), which of the following must be a point on the graph of y=h(-3t+5)-2?

a) (3,-9)
b) (-3,-5)
C) (3,5)
d) (-3,5)
e) (-2,-9)
f) (6,7)
g) (-2,5)
h) (-6,-7)
e) none of the above

  c)  (3, 5)

Step-by-step explanation:

We know that one point is ...

  (t, h(t)) = (-4, 7)

  (-4, h(-4)) = (-4, 7)

and we want to find ...

  (t, h(-3t+5) -2)

__

The function value h(-4) = 7 is the only one we know. So, we choose ...

  h(-3t+5) = 7.

Then we must have

  -3t +5 = -4

  -3t = -9

  t = 3

And the point is ...

  (t, h(-3t+5) -2)

  = (3, h(-4) -2) = (3, 7 -2) = (3, 5) . . . . matches choice C

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80

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